有没有哪位会这道题?详解,谢谢!!!

有没有哪位会这道题?详解,谢谢!!!
2024-12-23 14:24:18
推荐回答(2个)
回答1:

等价无穷小的替换

回答2:

lim [(x+c)/(x-c)]^(x/2)

x→∞
=lim {[1+ 2c/(x-c)]^[(x-c)/(2c)]}ᶜ·[1+ 2c/(x-c)]^(c/2)
x→∞
=eᶜ·(1+0)^(c/2)
=eᶜ
=3
c=ln3